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Finding the Third Proportional to 1,254.66 and 2,748.66

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Solution

The third proportional to 1,254.66 and 2,748.66 is: 6,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.66 : 2,748.66 = 2,748.66 : x
  2. Step 2: Convert to fraction form
    1,254.66/2,748.66 = 2,748.66/x
  3. Step 3: Cross multiply
    1,254.66x = 2,748.66 × 2,748.66
  4. Step 4: Simplify right side
    1,254.66x = 7,555,111.18
  5. Step 5: Solve for x
    x = 7,555,111.18/1,254.66
  6. Step 6: Final answer
    x = 6,021.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.